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ioda
3 years ago
15

According to the generally question for conditional probability if P(AnB) = 5/7 and P(B) = 7/8 what is P(A|B)?

Mathematics
1 answer:
never [62]3 years ago
3 0
Hi!

P(A|B) means the probability A will happen given B has happened. P(AnB) is the probability both will happen, and P(B) is the probability B will happen.

You can figure out a formula from that, but here's the generally accepted one:

P(A|B) = P(AnB) / P(B)

P(AnB) = 5/7
P(B) = 7/8

Substitute values in:

P(A|B) = 5/7 / 7/8

P(A|B) = 5/7 * 8/7

P(A|B) = 40/49
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The sum of the diagonals of a rhombus is 5√2.
Alex
Greetings!
Let ABCD be a rhombus
AC + BD = 5√2 cm

Area of ABCD = Ar△ABD + Ar △BCD
= \frac{1}{2} \times BD \times AO + \frac{1}{2} \times BD \times OC
= \frac{1}{2} BD (AO + OC)
\frac{1}{2} BD \times AC

So, \frac{ BD \times AC}{2} = 4 \: cm {}^{2}
BD \times AC = 8
Now, AC + \: BD = 5 \sqrt{2}

Squaring both sides, we get
AC {}^{2} + BD {}^{2} + 2 AC.BD =50
AC {}^{2} + BD {}^{2} + 2 \times 8 = 50
AC {}^{2} + BD {}^{2} = 50 - 16
AC {}^{2} + BD {}^{2} = 34

In △AOB, we have
OA {}^{2} + OB {}^{2} =AB {}^{2}
( \frac{ AC }{2} ) {}^{2} + ( \frac{ BD}{2} ) {}^{2} = AB {}^{2}
\frac{ AC {}^{2} } {4} + \frac{ BD {}^{2} }{4} = AB {}^{2}
AC {}^{2} + BD {}^{2} = 4 AB {}^{2}
34 = 4 AB {}^{2}

Square rooting both sides
\sqrt{34} = 2 AB
Perimeter = 4 \: AB \\ = 2 \times 2 \: AB \\ = 2 \: \times \sqrt{34 } \\ = 2 \sqrt{34 \: } units.

Hope it helps!

7 0
3 years ago
Paula caught a tarpon with a weight that was 10 times as great as the weight of a permit fish she caught . The total weight of t
olya-2409 [2.1K]
X equals weight of permit fish
x + 10X = 132
11x = 132
x= 12

permit fish= 12
tarpon=120

7 0
3 years ago
Read 2 more answers
1.5d + 3.25 = 1 + 2.25d ---What are the steps to find x?
yuradex [85]
Do u mean d?

1.5d +3.25 = 1 +2.25d  
3.25 = 1 + .75d              -1.5d on both sides
2.25 = .75d                      subtraction 1 on both sides
3 = d                                  divide both sides by .75
 
3 0
3 years ago
The st. joe company grows pine trees and the average annual increase in tree diameter is 3.1 inches with a standard deviation of
77julia77 [94]

Solution: We are given:

μ=3.1,σ=0.5,n=50

We have to find P(Mean <2.9)

We need to first find the z score

z= (xbar-μ)/(σ/sqrt(n))

=(2.9-3.1)/(0.5/sqrt(50))

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Now we have to find P(z<-2.83)

Using the standard normal table, we have:

P(z<-2.83)=0.0023

Therefore the probability of the sample mean being less the 2.9 inches is 0.0023

5 0
3 years ago
On a blueprint lets say that every 1/4 inch is equal to 1 foot in real life.
Murrr4er [49]

Answer:

15 ft

Step-by-step explanation:

If every 1/4 of an inch is a foot, than every inch is 4 feet.

1 inch = 4ft

3 inches = 12ft

1/4 + 1/4 + 1/4 = 3/4

3/4=3 ft

12+3=15ft

6 0
3 years ago
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